PR - Proportional Relationships Module Overview
Proportional Relationships Module Overview
Introduction
In this module, students will extend their learning from 6th grade as they will learn to identify proportional relationships from tables and graphs. They will also learn to identify and create equivalent ratios and recognize the constant from a table or graph. They will be able to understand that if there is no constant, there is no proportional relationship. Students will learn to write equations from tables that represent the unit rate. This will prepare them for slope in 8th grade. Graphing on a plane will be an important concept in this module as students can use the graph to determine proportionality. Multistep percent application problems will be an important part of this module as students learn to find percent of increase and decrease, and use the formula: I = PRT to solve interest problems
Essential Questions
- How can you compare unit rates associated with fractions?
- How can you use the definition of a proportional relationship to determine whether a relationship presented in a table or graph is proportional?
- How can you represent proportional relationships by equations?
- How can I identify the constant of proportionality?
- How can I use proportional relationships to solve multistep percent problems?
- How can I demonstrate the origin and unit rate on a graph?
Key Terms
The following key terms will help you understand the content in this module.
Complex fraction - A complex fraction is a fraction in which either the numerator or the denominator or both contain fractions.
Constant of proportionality - The constant of proportionality is the constant ratio between two quantities in a proportional relationship.
Coordinate plane - A plane formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.
Equivalent ratios - Equivalent ratios are ratios that name the same comparison.
Indirect measurement - Indirect measurement is the process of using similar figures and proportions to find a measure.
Origin - The origin is the point where the x-axis and y-axis intersect on the coordinate plane (0, 0).
Percent of change - Percent of change is the amount stated as a percent that a number increases or decreases.
Percent of decrease - This is a percent change describing a decrease in a quantity.
Percent of increase - Percent of increase is the percent change describing an increase in a quantity.
Principal - The principal is the initial amount of money borrowed or saved.
Proportion - A proportion is an equation that states that two ratios are equivalent
Proportional relationship - A proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant.
Scale - The scale is the ratio between two sets of measurements.
Simple interest - Simple interest is a fixed percent of the principal. It is found using the formula I = Prt ,where P represents the principal, r the rate of interest, and t the time.
Unit rate - The unit rate is rate in which the second quantity in the comparison is one unit. (denominator is 1)
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